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20476040 = 235133233
BaseRepresentation
bin100111000011…
…1000010001000
31102112021211212
41032013002020
520220213130
62010512252
7336020624
oct116070210
942467755
1020476040
1110615a52
126a35688
13431c000
142a10184
151be6e95
hex1387088

20476040 has 64 divisors (see below), whose sum is σ = 50122800. Its totient is φ = 7527936.

The previous prime is 20476019. The next prime is 20476051. The reversal of 20476040 is 4067402.

It can be written as a sum of positive squares in 8 ways, for example, as 3452164 + 17023876 = 1858^2 + 4126^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20475997 and 20476015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87764 + ... + 87996.

Almost surely, 220476040 is an apocalyptic number.

20476040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20476040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25061400).

20476040 is an abundant number, since it is smaller than the sum of its proper divisors (29646760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20476040 is a wasteful number, since it uses less digits than its factorization.

20476040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 20476040 is about 4525.0458561212. The cubic root of 20476040 is about 273.5785162046.

The spelling of 20476040 in words is "twenty million, four hundred seventy-six thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 233 260 338 466 520 676 845 932 1165 1352 1690 1864 2197 2330 3029 3380 4394 4660 6058 6760 8788 9320 10985 12116 15145 17576 21970 24232 30290 39377 43940 60580 78754 87880 121160 157508 196885 315016 393770 511901 787540 1023802 1575080 2047604 2559505 4095208 5119010 10238020 20476040